[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …
received significant attention from the research community in recent years. It uses the …
Noisy intermediate-scale quantum algorithms
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …
integer factorization and unstructured database search requires millions of qubits with low …
Quantum error mitigation
For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …
the challenge of noise: the errors that occur in elementary physical components due to …
Quantum computational chemistry
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …
classically intractable chemistry problems. This may help to answer unresolved questions …
Hybrid quantum-classical algorithms and quantum error mitigation
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …
with the number of qubits. In experiment, quantum supremacy has recently been achieved …
Hartree-Fock on a superconducting qubit quantum computer
Google AI Quantum and Collaborators*†, F Arute… - Science, 2020 - science.org
The simulation of fermionic systems is among the most anticipated applications of quantum
computing. We performed several quantum simulations of chemistry with up to one dozen …
computing. We performed several quantum simulations of chemistry with up to one dozen …
Virtual distillation for quantum error mitigation
Contemporary quantum computers have relatively high levels of noise, making it difficult to
use them to perform useful calculations, even with a large number of qubits. Quantum error …
use them to perform useful calculations, even with a large number of qubits. Quantum error …
Quantum-centric supercomputing for materials science: A perspective on challenges and future directions
Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …
of novel materials. Computationally hard tasks in materials science stretch the limits of …
VQE method: a short survey and recent developments
The variational quantum eigensolver (VQE) is a method that uses a hybrid quantum-
classical computational approach to find eigenvalues of a Hamiltonian. VQE has been …
classical computational approach to find eigenvalues of a Hamiltonian. VQE has been …
Purification-based quantum error mitigation of pair-correlated electron simulations
An important measure of the development of quantum computing platforms has been the
simulation of increasingly complex physical systems. Before fault-tolerant quantum …
simulation of increasingly complex physical systems. Before fault-tolerant quantum …